They would be P-ch HI side switches as the gate is switched between +V & -V by gate drive T4 & T5 <-- PWM from uC.
There is a blocking diode D2 that prevents +Vbat backfeed to DC in connector.
I found a photo from last year of mine, can see the MOSFET numbers (BA6H13) but I cant find any data.
Schottky diode D1 would likely have cracked due to excess reverse current if its breakdown was compromised, possibly due to intermittent battery connection? or maybe just a bad part.
Testing... (bare board, connectors removed)
If you set your meter to Diode test, check D2 for about 0.5V one way & much higher the other.
Do the same with the 2 MOSFET's T1 & T2 Drain & Source (pins soldered together in my picture). They should test similar to the diode. If it shows about 0.1V then likely dead diode/MOSFET.
If T1 or T2 dead then will need to check driver transistor pairs T4 T5 & T3 T6. These are likely small signal BJT.
If D1 is removed & is the only component fault, fix solder join to battery & battery has charge the fan should run, this is a good test.
Looking at the PCB copper, Battery V+ comes via L1 -> T1 -> T2 to Fan VDD pin.
You will need to learn de-soldering/solder techniques, leadfree solder is harder to melt than good ole 60/40. I find diluting the leadfree with leaded solder helps.
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